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Finding the Fourth Proportional to 207,684, 311,525.96 and 49,912.46

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Solution

The fourth proportional to 207,684, 311,525.96 and 49,912.46 is: 74,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,684 : 311,525.96 = 49,912.46 : x
  2. Step 2: Convert to fraction form
    207,684/311,525.96 = 49,912.46/x
  3. Step 3: Cross multiply
    207,684x = 311,525.96 × 49,912.46
  4. Step 4: Simplify right side
    207,684x = 15,549,027,017.46
  5. Step 5: Solve for x
    x = 15,549,027,017.46/207,684
  6. Step 6: Final answer
    x = 74,868.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.